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Simplifying -4(2t + -2) + 3t = 4t + -2 Reorder the terms: -4(-2 + 2t) + 3t = 4t + -2 (-2 * -4 + 2t * -4) + 3t = 4t + -2 (8 + -8t) + 3t = 4t + -2 Combine like terms: -8t + 3t = -5t 8 + -5t = 4t + -2 Reorder the terms: 8 + -5t = -2 + 4t Solving 8 + -5t = -2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + -5t + -4t = -2 + 4t + -4t Combine like terms: -5t + -4t = -9t 8 + -9t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -9t = -2 + 0 8 + -9t = -2 Add '-8' to each side of the equation. 8 + -8 + -9t = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -9t = -2 + -8 -9t = -2 + -8 Combine like terms: -2 + -8 = -10 -9t = -10 Divide each side by '-9'. t = 1.111111111 Simplifying t = 1.111111111
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